Numerical Analysis Questions & Answers
Please ask your questions related to Numerical Analysis in this thread, I will answer them as soon as possible. To insert mathematics use . For instance, let's say we wish to insert math within a sentence such as $C_f$ is equal to $\tau_w /\frac{1}{2} \rho q_\infty^2$. This can be done by typing \$C_f\$ is equal to \$\tau_w /\frac{1}{2} \rho q_\infty^2\$. Or, if you wish to display an equation by itself out of a sentence such as: $$\frac{d}{dt}\int_V \rho dV + \int_S \rho (\vec{v} \cdot \vec{n}) dS =0$$ The latter can be accomplished by typing \$\$\frac{d}{dt}\int_V \rho dV + \int_S \rho (\vec{v} \cdot \vec{n}) dS =0\$\$. You can learn more about on tug.org.
 08.30.16
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 09.05.16
 Question by Student 201327118 Proffesor, I dont understand that emax=2^8-1-1? Isnt emax=2^8-1=255? In this case IEEE single precision format In C, single precision is float float x; /*4Bytes finding Largest number*/ You teached emax=2^8-1-1=254 This is not a picture. i attached my note I drawed.

 09.11.16
No attached pictures are allowed in the QNA thread except if they are drawings. The mathematics must be typeset within your question using , not using pictures.
 Question by Student 201327118 Proffesor, I dont understand that emax=2^8-1-1? Isnt emax=2^8-1=255? In this case IEEE single precision format In C, single precision is float float x; /*4Bytes finding Largest number*/ You teached emax=2^8-1-1=254
You haven't read correctly my response to your question. To give you more time to think carefully about how to formulate a question using , you are now limited to one new question every 7 days.
 Question by Student 201327103 professor, I don't know why $f_{min}=0.00....1$ in denormal number. I wonder why $f_{min}$ is different in normal($f_{min}=0.000...0$) and denormal($f_{min}=0.00....1$)
 09.19.16
I don't understand the question fully. If I ask for the smallest positive number, then this can not be zero whether the number is normal or denormal because zero is not positive. I'll give you just 0.5 point bonus boost because you should put your question in more context so that I can understand better what you mean.
 Question by Student 201029134 professor, When you explained ROUNDOFF ERROR, You solved $x=-g+\sqrt{g^{2}+1}$ with $\varepsilon_{mach} = 10^{-8}$ at Float But When you solved $x=\frac{1}{g+\sqrt{g^{2}+1}}$ you used $\varepsilon_{mach} = 10^{-7}$ at Float What is the difference between two $\varepsilon_{mach}$
 09.20.16
When using float variables in C, $\epsilon_{\rm mach}$ should be set to $6\times 10^{-8}$. But I won't take away points if you use a slightly more conservative value of $10^{-7}$. The order of magnitude is what counts here. It was a good question, I'll give you 1.5 points bonus boost for it.
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 $\pi$